探讨了分形测度小波变换极大值线的拓扑分岔情况，并提出了一种基于小波变换模极大值的多重分形谱估算方法。
Topologic bifurcation situation of maxima lines is also discussed. In the end, an estimation for multifractal spectrum is proposed in terms of wavelet module maxima lines.
本文从分形信息论观点出发，考察多重测度分形，导出基于分形熵比的多重分形维谱函数。
From the view of fractal information theory, the multifractal has been introduced, and the multifractal dimension spectrum function based on the fractal entropy has been investigated.
其中第一章是关于度量空间中的图定向自相似集合，第二章是关于动力系统中平衡态测度的重分形分析。
The first chapter is about graph-directed self-similar sets in complete metric spaces, and the second chapter is about multifractal analysis of equilibrium measures in dynamical systems.
将分形用于自然纹理描述，指出了单一分形维数测度用于纹理分析的局限性，并提出了尺度分维的新概念。
The limitations of single fractal dimension for texture analysis are pointed out and a new concept of scale fractal dimension is proposed.
完备度量空间上迭代函数系统的不变集性质及测度的维数是分形几何研究的主要对象。
The property of the invariant set and measure's dimension of the IFS are main objects in the studying of fractal geometry.
本文提出了一种基于亚像素边缘测度的多重分形算法，应用于图像奇异性分析中可以实现从纹理到边缘各层面的精确划分。
In this paper, a new multifractal algorithm is proposed based on sub-pixel edge measure. The method can precisely divide the image from texture to edge for image singularity analysis.
针对以往公路网评价缺少几何总体性测度指标，引进分形几何学中分维数概念分析公路网。
The appraisement about the network of highways didn't contain the geometrical overall measure index in the past. This paper introduces the fractal concept in the fractal geometry to remedy the defect.
针对以往公路网评价缺少几何总体性测度指标，引进分形几何学中分维数概念分析公路网。
The appraisement about the network of highways didn't contain the geometrical overall measure index in the past. This paper introduces the fractal concept in the fractal geometry to remedy the defect.
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